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5782557508 = 22713194120393
BaseRepresentation
bin1010110001010101…
…01101001101000100
3112220222220100122121
411120222231031010
543320313320013
62353444135324
7263203633150
oct53052551504
915828810577
105782557508
1124a8115052
121154697544
13712015480
143cbdaa060
1523c9d558d
hex158aad344

5782557508 has 96 divisors (see below), whose sum is σ = 13430672640. Its totient is φ = 2114242560.

The previous prime is 5782557493. The next prime is 5782557509. The reversal of 5782557508 is 8057552875.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (5782557509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273360 + ... + 293752.

It is an arithmetic number, because the mean of its divisors is an integer number (139902840).

Almost surely, 25782557508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5782557508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715336320).

5782557508 is an abundant number, since it is smaller than the sum of its proper divisors (7648115132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5782557508 is a wasteful number, since it uses less digits than its factorization.

5782557508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20477 (or 20475 counting only the distinct ones).

The product of its (nonzero) digits is 3920000, while the sum is 52.

The square root of 5782557508 is about 76043.1292622812. The cubic root of 5782557508 is about 1794.8988811839.

The spelling of 5782557508 in words is "five billion, seven hundred eighty-two million, five hundred fifty-seven thousand, five hundred eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 41 52 76 82 91 133 164 182 247 266 287 364 494 532 533 574 779 988 1066 1148 1558 1729 2132 3116 3458 3731 5453 6916 7462 10127 10906 14924 20254 20393 21812 40508 40786 70889 81572 141778 142751 265109 283556 285502 387467 530218 571004 774934 836113 1060436 1549868 1672226 1855763 2712269 3344452 3711526 5037071 5424538 5852791 7423052 10074142 10849076 10869469 11705582 15886147 20148284 21738938 23411164 31772294 35259497 43477876 63544588 70518994 76086283 111203029 141037988 152172566 206519911 222406058 304345132 413039822 444812116 826079644 1445639377 2891278754 5782557508